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Out of the following functions represent...

Out of the following functions representing motion of a particle which represents SHM
I. `y = sin omega t - cos omega t`
II. `y = sin^(3)omega t`
III. `y = 5 cos ((3 pi)/(4)-3 omega t)`
IV. `y = 1 + omega t + omega^(2)t^(2)`

A

Only A and B

B

Only A

C

Only D does not represent SHM

D

Only A and C

Text Solution

Verified by Experts

The correct Answer is:
D

B is periodic but not Harmonic
D is periodic
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NARAYNA-OSCILLATIONS-EXERCISE - I (C.W)
  1. The motion of a particle is given x = A sin omega t + B cos omega t Th...

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  2. The displacement of a particle along the x-axis is given by x = a sin^...

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  3. Out of the following functions representing motion of a particle which...

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  4. The equation of S.H.M. isy=a sin (2 pint + a), then its phase at time...

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  5. A particle starts from rest at the extreme position and makes SHM with...

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  6. A particle executing simple harmonic motion along y -axis has its moti...

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  7. The equation describing the motion of a simple harmonic oscillator alo...

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  8. A particle in SHM has a period of 4s .It takes time t(1) to start from...

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  9. The equation of the displacement of two particles making SHM are repre...

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  10. Which of the following equation does not represent a simple harmonic m...

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  11. The time period of oscillation of a particle that executes SHM is 1.2s...

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  12. For a body in SHM the velocity is given by the relation V = sqrt(144-1...

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  13. The maximum velocity a particle, executing simple harmonic motion with...

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  14. A particle executing SHM has amplitude of 1m and time period pi sec. V...

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  15. The amplitude and time period of a aprticle of mass 0.1kg executing si...

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  16. A simple harmonic oscillator is of mass 0.100 kg. It is oscillating wi...

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  17. A body executing SHM has a maximum velocity of 1ms^(-1) and a maximum ...

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  18. The velocity of a particle in SHM at the instant when it is 0.6cm away...

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  19. The equation of motion of a particle started at t=0 is given by x=5sin...

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  20. A particle executes simple harmonic motion with a period of 16s. At ti...

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